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Finding the Fourth Proportional to 277,901.36, 383,518.92 and 157,047.68

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Solution

The fourth proportional to 277,901.36, 383,518.92 and 157,047.68 is: 216,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,901.36 : 383,518.92 = 157,047.68 : x
  2. Step 2: Convert to fraction form
    277,901.36/383,518.92 = 157,047.68/x
  3. Step 3: Cross multiply
    277,901.36x = 383,518.92 × 157,047.68
  4. Step 4: Simplify right side
    277,901.36x = 60,230,756,622.11
  5. Step 5: Solve for x
    x = 60,230,756,622.11/277,901.36
  6. Step 6: Final answer
    x = 216,734.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.